The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: VNH0034
# Created Wed Jun 4 01:12:16 2025
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 94.05d
# First observation: 2013/06/05
# Last observation: 2013/09/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000003 0.031022 -0.000004 -0.000469 0.024569 0.000000
# Chi-squared of fit: 11.91 DOF: 30 RMS: 0.14
# Min/Max residuals: -0.30 0.60
# Exact a, adot, b, bdot, g, gdot:
1.450004E-05 2.162248E-02 -2.619572E-07 -5.945823E-04 2.297279E-02 -1.099727E-03
# Covariance matrix:
1.4387E-13 -1.4738E-11 6.7347E-15 -2.1818E-13 -1.7252E-12 2.1253E-10
-1.4738E-11 8.4688E-08 -4.0662E-11 1.1807E-09 1.2717E-08 -7.4948E-07
6.7347E-15 -4.0662E-11 1.3016E-13 -1.3534E-12 -6.1071E-12 3.6005E-10
-2.1818E-13 1.1807E-09 -1.3534E-12 3.7769E-11 1.7706E-10 -1.0519E-08
-1.7252E-12 1.2717E-08 -6.1071E-12 1.7706E-10 1.9146E-09 -1.1151E-07
2.1253E-10 -7.4948E-07 3.6005E-10 -1.0519E-08 -1.1151E-07 6.8909E-06
# lat0 lon0 xBary yBary zBary JD0
2.610359 -80.568890 0.427468 0.042076 -0.922078 2456448.750798
# Heliocentric elements and errors
Epoch: 2456440.5000 = 2013/05/28
Mean Anomaly: 269.72148 +/- 35.985
Argument of Peri: 218.48453 +/- 32.163
Long of Asc Node: 157.56821 +/- 0.438
Inclination: 2.99130 +/- 0.014
Eccentricity: 0.06086568 +/- 0.1180
Semi-Major Axis: 44.27609736 +/- 1.3904
Time of Perihelion: 2483426.2419 +/- 10681.2
Perihelion: 41.58120266 +/- 5.3874
Aphelion: 46.97099207 +/- 5.4309
Period (y) 294.6200 +/- 13.88
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 6.85595210 +/- 0.0136
Ecliptic Y -43.87479156 +/- 0.0817
Ecliptic Z 1.98251663 +/- 0.0038
Ecliptic XDOT 0.00251485 +/- 0.0000
Ecliptic YDOT 0.00054797 +/- 0.0003
Ecliptic ZDOT -0.00007661 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.45145426 +/- 0.0807
Geocenter to KBO 43.52976430 +/- 0.0829
# Hcoef: 12.31
The following table shows the complete astrometric record for VNH0034. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (VNH0034) followed by the observatory code and reference code for the source of the astrometry.
2013 06 05.25002 18 40 15.508 -20 30 00.12 VNH0034 304 2013 06 05.31181 18 40 15.234 -20 30 00.22 VNH0034 304 2013 06 05.36937 18 40 15.002 -20 30 00.57 29.0R VNH0034 304 2013 06 06.24369 18 40 11.220 -20 30 03.20 28.3R VNH0034 304 2013 06 06.30303 18 40 10.954 -20 30 03.36 VNH0034 304 2013 06 06.36592 18 40 10.675 -20 30 03.43 29.6R VNH0034 304 2013 06 09.16882 18 39 58.352 -20 30 12.53 28.1R VNH0034 304 2013 06 09.16986 18 39 58.344 -20 30 12.33 26.0R VNH0034 304 2013 06 09.20547 18 39 58.185 -20 30 12.61 28.9R VNH0034 304 2013 06 09.21041 18 39 58.148 -20 30 12.51 VNH0034 304 2013 06 09.26181 18 39 57.931 -20 30 12.81 29.6R VNH0034 304 2013 06 09.29749 18 39 57.776 -20 30 12.96 28.7R VNH0034 304 2013 06 09.30355 18 39 57.747 -20 30 12.96 VNH0034 304 2013 07 05.48837 18 37 53.834 -20 32 04.73 27.6R VNH0034 568 2013 07 06.31422 18 37 49.873 -20 32 09.58 26.8R VNH0034 568 2013 07 06.40236 18 37 49.445 -20 32 10.09 29.1R VNH0034 568 2013 07 06.48552 18 37 49.041 -20 32 10.44 29.4R VNH0034 568 2013 09 07.29851 18 34 09.971 -20 37 52.05 VNH0034 568
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.08 0.00 -0.03
2 0.0002 -3.85 0.04 0.17 0.06
3 0.0003 -7.12 0.30 0.05 -0.15
4 0.0027 -60.31 0.11 1.12 -0.11
5 0.0029 -64.05 0.06 1.22 -0.08
6 0.0031 -67.97 0.05 1.42 0.03
7 0.0107 -241.32 -0.09 4.34 -0.07
8 0.0107 -241.42 -0.12 4.55 0.13
9 0.0108 -243.67 -0.11 4.42 -0.02
10 0.0108 -244.18 -0.30 4.56 0.11
11 0.0110 -247.24 -0.09 4.47 -0.03
12 0.0111 -249.42 0.00 4.47 -0.07
13 0.0111 -249.83 -0.02 4.50 -0.05
14 0.0828 -1994.24 -0.02 10.59 0.60
15 0.0850 -2050.08 -0.00 9.42 -0.05
16 0.0853 -2056.11 0.04 9.31 -0.10
17 0.0855 -2061.80 0.09 9.33 -0.03
18 0.2575 -5154.49 -0.01 -137.62 -0.13
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
VNH0034 quality flag:1 Type: CLASSICAL SCATNEAR CLASSICAL axisobj 44.287 55.828 43.118 ecceobj 0.064 0.415 0.085 incobj 2.989 2.954 3.015 qmin 40.764 31.836 38.673 qmax 48.408 92.175 48.251 amean 44.492 56.977 43.354 amin 44.130 51.082 43.021 amax 44.861 62.593 43.717 emean 0.065 0.422 0.083 emin 0.050 0.367 0.063 emax 0.079 0.474 0.105 imean 2.903 4.488 3.082 imin 2.290 1.421 1.936 imax 3.513 7.647 4.061 excite_mean 0.083 0.431 0.100 fracstop 1.000 1.000 1.000 cjmean 3.099 3.011 3.082 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 179.3 176.3 180.0 kozaiamp 180.0 179.9 180.0